SOLUTION: An older person is 8 years older than 5 times the age of a younger person. The sum of their age is 26. Find their age.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: An older person is 8 years older than 5 times the age of a younger person. The sum of their age is 26. Find their age.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1004406: An older person is 8 years older than 5 times the age of a younger person. The sum of their age is 26. Find their age.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the older and younger, x and y.
Then we have
x = 5y + 8 and
x + y = 26
Substitute the first into the second and get
5y + 8 + y = 26
6y + 8 = 26
6y = 18
y = 3
x is then 23.